Pith Number

pith:I2DZOUBB

pith:2013:I2DZOUBBR7M4J4D7PH3ZKGU3YK

not attested not anchored not stored refs pending

The third-order term in the normal approximation for singular channels

Aaron B. Wagner, Yucel Altug

arxiv:1309.5126 v1 · 2013-09-20 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2DZOUBBR7M4J4D7PH3ZKGU3YK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:12:47.679432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46879750218fd9c4f07f79f7951a9bc2a061ff900d068157f2900abf4359b859

Aliases

arxiv: 1309.5126 · arxiv_version: 1309.5126v1 · doi: 10.48550/arxiv.1309.5126 · pith_short_12: I2DZOUBBR7M4 · pith_short_16: I2DZOUBBR7M4J4D7 · pith_short_8: I2DZOUBB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I2DZOUBBR7M4J4D7PH3ZKGU3YK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 46879750218fd9c4f07f79f7951a9bc2a061ff900d068157f2900abf4359b859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "944e66fbae68bb120080fc966f96ac9c7f877a871e83ace7be69d15475ecab47",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-20T01:31:03Z",
    "title_canon_sha256": "9fd8c19ffe208fbe5660929f205151fe8bfc9d791c339d94e3fe9df652526fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5126",
    "kind": "arxiv",
    "version": 1
  }
}